Dynamical Behaviors of Nonlinear Coronavirus (COVID 9) Model with Numerical Studies

Gepreel, Khaled A.; Mohamed, Mohamed S.; Alotaibi, Hammad; Mahdy, A. M. S.

doi:10.32604/cmc.2021.012200

Cited by 23 publications

(32 citation statements)

References 26 publications

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“…This is because that DNA is a long object 7 meters long which is compacted in less than micrometers. Thus, this system could be similar to a black string with the below metric [9][10][11][12][13][14][15][16][17][18][19][20][21][22]:…”

Section: A Quantum Model For Exchanging Waves Between Bacterial and Cellular Dnamentioning

confidence: 99%

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Describe the Mathematical Model for Exchanging Waves Between Bacterial and Cellular DNA

Mohamed¹,

Elagan²,

Mohamed³

et al. 2021

Computers, Materials &Amp; Continua

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In this article, we have shown that bacterial DNA could act like some coils which interact with coil-like DNA of host cells. By decreasing the separating distance between two bacterial cellular DNA, the interaction potential, entropy, and the number of microstates of the system grow. Moreover, the system gives its energy to the medium and the temperature of the host body grows. This could be seen as fever in diseases. By emitting some special waves and changing the temperature of the medium, the effects of bacterial waves could be reduced and bacterial diseases could be controlled. Many investigators have shown that bacterial DNA could emit or absorb electromagnetic waves. One of the main experiments about bacterial waves has been done by Montagnier and his group. They have shown that the genomic DNA of most pathogenic bacteria includes sequences that are able to emit electromagnetic waves. The results have shown that wave affects the crucial physicochemical processes in both Gram-positive and Gram-negative bacteria. The emphasis in this survey is on the development of controlling model equations and computer emulation of the model equations rather than on mathematical methods for solving the model equations and differential equations of epidemics.

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Section: A Quantum Model For Exchanging Waves Between Bacterial and Cellular Dnamentioning

confidence: 99%

“…Fractional order differential equations (FDEs) are usually used to model systems that have a memory that occurs in sundry physical phenomenas, models in the thermoelasticity field, and biological ideals see ( [9][10][11], [12][13][14], [15][16][17], [18][19][20], [21][22][23], [24][25][26], [27][28][29], [30][31][32]).…”

Section: Introductionmentioning

confidence: 99%

Describe the Mathematical Model for Exchanging Waves Between Bacterial and Cellular DNA

Mohamed¹,

Elagan²,

Mohamed³

et al. 2021

Computers, Materials &Amp; Continua

Self Cite

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“…Over the most recent couple of years, various numerical models have been created to give smart subtleties into numerous issues of interest including the transmission and control of irresistible illnesses [1][2][3]. The description of the ongoing pandemic of Coronavirus, as viral pneumonia in late 2019 in Wuhan-China which has spread worldwide across 210 countries is "SARS-CoV-2" [4][5][6]. It is seething around the world with a tremendous cost as far as human, financial, and social effects [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

An Approximate Numerical Methods for Mathematical and Physical Studies for Covid-19 Models

Alotaibi¹,

Gepreel²,

Mohamed³

et al. 2022

Computer Systems Science and Engineering

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The advancement in numerical models of serious resistant illnesses is a key research territory in different fields including the nature and the study of disease transmission. One of the aims of these models is to comprehend the elements of conduction of these infections. For the new strain of Covid-19 (Coronavirus), there has been no immunization to protect individuals from the virus and to forestall its spread so far. All things being equal, control procedures related to medical services, for example, social distancing or separation, isolation, and travel limitations can be adjusted to control this pandemic. This article reveals some insights into the dynamic practices of nonlinear Coronavirus models dependent on the homotopy annoyance strategy (HPM). We summon a novel sign stream chart that is utilized to depict the Coronavirus model. Through the numerical investigations, it is uncovered that social separation of the possibly tainted people who might be conveying the infection and the healthy virus-free people can diminish or interrupt the spread of the infection. The mathematical simulation results are highly concurrent with the statistical forecasts. The free balance and dependability focus for the Coronavirus model is discussed and the presence of a consistently steady arrangement is demonstrated.

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“…Alotaibi et al [ 28 ] investigated solution of COVID -19 model, and they concluded that homotopy annoyance and decreased differential change techniques are adequate for solving such model equations. Modified reduced differential transform and homotopy perturbation method have also been used in some other researches [ 29 , 30 ]. In the research of Mahdy et al [ 31 ], they investigated Rubella ailment disease model using shifted second-order Chebyshev polynomials type which they claimed had not been used before and concluded that the method is efficient and its simple-to-use style makes it suitable for finding convergent solutions to Rubella disease models.…”

Section: Introductionmentioning

confidence: 99%

Mathematical model of the spread of COVID-19 in Plateau State, Nigeria

Adedire

Ndam

2022

J Egypt Math Soc

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In this research, a mathematical model consisting of non-pharmaceutical control measures is formulated. The developed model helps to examine the transmission of COVID-19 infection in Plateau State, Nigeria, using face masks$$c_{f}$$cfand social distancing$$c_{d}$$cdas control measures. Data used for the simulation of the developed model were obtained from Nigeria Centre for Disease Control which was fitted to the system of ordinary differential equations using nonlinear least squares method. Results at baseline values$$c_{f} = 0.1$$cf=0.1and$$c_{d} = 0.2$$cd=0.2of control measures indicate 2.3 estimation as basic reproduction number which suggests that COVID-19 in Plateau State tends towards endemic state. However, above about 40% in the use of face masks in the population and corresponding above 50% adherence to social distancing could as well bring down the basic reproduction number to a value below 1 necessary for disease eradication. The results at baseline values further indicate that the peak of the COVID-19 had been reached in less than 250 days from the first detection date after about 476,455 undetected asymptomatic individuals, 92,168 undetected symptomatic individuals and 83,801 detected quarantined individuals have been fully infectious. Therefore, the policymakers in Plateau State have the possibility of eradicating the disease with further strict non-pharmaceutical control measures provided that the present conditions of analysis remain fairly the same.

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Dynamical Behaviors of Nonlinear Coronavirus (COVID 9) Model with Numerical Studies

Cited by 23 publications

References 26 publications

Describe the Mathematical Model for Exchanging Waves Between Bacterial and Cellular DNA

Describe the Mathematical Model for Exchanging Waves Between Bacterial and Cellular DNA

An Approximate Numerical Methods for Mathematical and Physical Studies for Covid-19 Models

Mathematical model of the spread of COVID-19 in Plateau State, Nigeria

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